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Rufina [12.5K]
3 years ago
13

I need some help with this​

Mathematics
1 answer:
Contact [7]3 years ago
8 0
The answer for the first one is city c
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The equation 12x² + 4kx + 3 = 0 has real and equal roots, if
sleet_krkn [62]

Answer:

k=\pm3

Step-by-step explanation:

[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant \Delta = b^2-4ac (or, if b is an even number, 1/4 of it) is zero.

<u>I see it! I see it!</u>

Stare at it for a while. First term is 3(2x)^2, third term is 3(1)^2, we are missing a double product, but we can play with k. For the LHS to be 3(2x\pm1)^2 = 3(4x^2\pm4x+1) = 12x^2\pm12x+3 you just need 4k= \pm12 \rightarrow k=\pm3.

<u>I don't see it...</u>

Then number crunching it is. Set the discriminant to 0, solve for k

\frac{\Delta}4 = 4k^2-12\cdot 3 =0 \rightarrow 4k^2=36 \\k^2 = 9 \rightarrow k=\pm3

8 0
2 years ago
Simplifies the expression 6y4+3y4
Anarel [89]
3y i'm not sure if thats right but thats what i got hope this helps
8 0
4 years ago
Simplify -2|-1+5| Thank youuu<br><br> P.S. I got -8. Is that right?
Minchanka [31]

Answer:

-8.

Step-by-step explanation:

-2|-1+5|

The absolute value function |-1+5| = |4| = 4

-2 * 4 = -8.

You are right.

6 0
3 years ago
Solve log x=4 <br><br> x=4<br> x=40<br> x=1000<br> x=10000
Katena32 [7]

Answer:10000

Step-by-step explanation:

Remember that log x and 10^x are inverse functions.

If you have log x = 4 and want the value of x, write this out:

log x 4

10 = 10

This simplifies to:

x = 10^4, and so the fourth answer choice is the correct one.

8 0
3 years ago
Help, please!!! Simplify this expression.<br> -18x(3-4.6)-10x
koban [17]

Answer:

-28x(-1.6)

Step-by-step explanation:

combine like terms: -18x +(-10x)  ---> <u>-28x</u>

                                   3-4.6           ---> <u>-1.6</u>

Combine the leftover terms:

<u>-28x(-1.6)</u>

7 0
4 years ago
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